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Finding the Fourth Proportional to 13,043.71, 17,980.35 and 7,998.58

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Solution

The fourth proportional to 13,043.71, 17,980.35 and 7,998.58 is: 11,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.71 : 17,980.35 = 7,998.58 : x
  2. Step 2: Convert to fraction form
    13,043.71/17,980.35 = 7,998.58/x
  3. Step 3: Cross multiply
    13,043.71x = 17,980.35 × 7,998.58
  4. Step 4: Simplify right side
    13,043.71x = 143,817,265.42
  5. Step 5: Solve for x
    x = 143,817,265.42/13,043.71
  6. Step 6: Final answer
    x = 11,025.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.